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Finding the Fourth Proportional to 6,586.34, 9,882.14 and 2,890.71

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Solution

The fourth proportional to 6,586.34, 9,882.14 and 2,890.71 is: 4,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.34 : 9,882.14 = 2,890.71 : x
  2. Step 2: Convert to fraction form
    6,586.34/9,882.14 = 2,890.71/x
  3. Step 3: Cross multiply
    6,586.34x = 9,882.14 × 2,890.71
  4. Step 4: Simplify right side
    6,586.34x = 28,566,386.47
  5. Step 5: Solve for x
    x = 28,566,386.47/6,586.34
  6. Step 6: Final answer
    x = 4,337.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.